All categories

3 years ago

What is the gcf of the numerator and denominator of the rational expression

Mathematics

1 answer:

Roman55 [17]3 years ago

5 0

$\frac{3x-15}{x^2-x-20} = \frac{3(x-5)}{(x+4)(x-5)}$

The only common factor is (x -5).

Selection A is appropriate.

You might be interested in

Just some questions I need answered! Solve 4z > -6 Solve x + 19 <= -5

Dmitriy789 [7]

4z>-6

divide by 4

z>-6/4

z>-3/2

x+19<= -5

subtract 19 from both side

x<= -24

7 0

3 years ago

Help me with 22 and 23

cricket20 [7]

22.

pythagorean theorem says legs a and b and hypotenuse c of a right triangle are related via the equation c²=a²+b². in other words, adding the sum of the squares of the legs get you the square of the hypotenuse

if the hypotenuse is 4 meters long, c = 4.

if one leg is 3 meters long, we can choose either a or b to be 3. it does not really matter. let us choose a = 3. now we have to find b.

if we have c²=a²+b², we can solve for b.

subtract a² both sides to get c²-a²=b², and then square root both sides to get

b = √(c²-a²)

plugging in our info we get

b = √(4²-3²) = √(16 -9) = √7

so the answer is √7 meters for 22

two triangles are similar, then the proportion of their sides are the same. the propotion between the smaller triangles' hypotenuse and 2cm leg is 5cm/3cm.

notice how the bigger triangle just have a doubled hypotenuse. therefore, the bigger triangle's x and y are just the corresponding smaller triangle values doubled.

x = 6 and y = 8

3 0

3 years ago

Is 28 rational or irrational

Sonja [21]

28 is a rational number

6 0

3 years ago

Read 2 more answers

A baseball is thrown at an angle of 30° with respect to the ground and it reaches the ground in 2 seconds. What is its initial v

NeTakaya

Answer:

The answer to your question is vo = 19.62 m/s

Step-by-step explanation:

Data

angle = α = 30°

time = t = 2 s

vo = ?

g = 9.81 m/s²

Formula

$t = \frac{2vosin\alpha}{g}$

Solve for vo

$vo = \frac{tg}{2sin\alpha}$

Substitution

$vo = \frac{(2)((9.81)}{2sin 30}$

Simplification

$vo = \frac{19.62}{2(0.5)}$

$vo = \frac{19.62}{1}$

Result

vo = 19.62 m/s

3 0

3 years ago

A boat has a speed of 15 mph in still water. It travels downstream from Greentown to Glenavon in g hours. It then goes back upst

Lerok [7]

Step-by-step explanation:

We want to find two things-- the speed of the boat in still water and the speed of the current. Each of these things will be represented by a different variable:

B = speed of the boat in still water

C = speed of the current

Since we have two variables, we will need to find a system of two equations to solve.

How do we find the two equations we need?

Rate problems are based on the relationship Distance = (Rate)(Time).

Fill in the chart with your data (chart attached)

The resulting speed of the boat (traveling upstream) is B-C miles per hour. On the other hand, if the boat is traveling downstream, the current will be pushing the boat faster, and the boat's speed will increase by C miles per hour. The resulting speed of the boat (traveling downstream) is B+C miles per hour. Put this info in the second column in the chart. Now plug it into a formula! Distance=(Rate)(Time) Now solve using the systems of equations!

6 0

3 years ago